Question

Which of these values for Pand a will cause the function f(x) = Pa* to be an

Answer 1

Answer:

For $P = 1$ ;  $a = 10$, the function $f(x) = Pa^{x}$ would become $f(x) = 10^{x}$ which is an exponential growth function. So, option D is correct.

Please check the attached figure a for visualizing the graph of $f(x) = 10^{x}$.

Step-by-step explanation:

As the function is given by

$f(x) = Pa^{x}$

For a function to be an exponential growth function

• $a>1$

For a function to be an exponential decay function

• $a$

For a function to have no change

• $a=1$

If we carefully observe the choices, it is easy to determine that putting $P = 1$ ;  $a = 10$ in $f(x) = Pa^{x}$ would bring $f(x) = 10^{x}$.

So, $f(x) = 10^{x}$ would be an exponential growth function. The graph of $f(x) = 10^{x}$ is shown in figure a.

So, out of all the available options, only option D is correct i.e. $P = 1$ ;  $a = 10$.

Keywords: exponential growth function, exponential decay function

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